9744951687168 has 96 divisors (see below), whose sum is σ = 27109767484800. Its totient is φ = 3107086000128.

The previous prime is 9744951687151. The next prime is 9744951687217. The reversal of 9744951687168 is 8617861594479.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 9744951687168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34338958 + ... + 34621581.

It is an arithmetic number, because the mean of its divisors is an integer number (282393411300).

Almost surely, 2^{9744951687168} is an apocalyptic number.

It is an amenable number.

9744951687168 is an abundant number, since it is smaller than the sum of its proper divisors (17364815797632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9744951687168 is a wasteful number, since it uses less digits than its factorization.

9744951687168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68960587 (or 68960567 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 75.

The spelling of 9744951687168 in words is "nine trillion, seven hundred forty-four billion, nine hundred fifty-one million, six hundred eighty-seven thousand, one hundred sixty-eight".